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Finding the Fourth Proportional to 217,999.53, 300,716.22 and 137,288.28

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Solution

The fourth proportional to 217,999.53, 300,716.22 and 137,288.28 is: 189,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,999.53 : 300,716.22 = 137,288.28 : x
  2. Step 2: Convert to fraction form
    217,999.53/300,716.22 = 137,288.28/x
  3. Step 3: Cross multiply
    217,999.53x = 300,716.22 × 137,288.28
  4. Step 4: Simplify right side
    217,999.53x = 41,284,812,611.90
  5. Step 5: Solve for x
    x = 41,284,812,611.90/217,999.53
  6. Step 6: Final answer
    x = 189,380.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.